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Paper Citation Record · LEDGER

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.07780.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.07780 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:32:14.131655Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc988e55-68cc-4a5d-af82-9cbd2fbcccfe · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.405903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3c58c4bd-7b8c-417c-b0c9-b08d0184e0fc · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.395539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation bbef2ed1-bdc3-4ddf-b199-4a5271e563ef · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.385202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 888e25e8-c0d3-4386-b75b-7c8395c4d25b · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.374740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.065917Z digest=sha256:e3acf6cc4e2d95648e1b0eb60b20cbdcde1b361e1fcb0af81dd6e8139e2f5f0a

Observation f881aecf-80c7-4016-a934-a233548fdb30 · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.363919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.069560Z digest=sha256:a8285e33fc1b30bcfb80f409d4b3f01abbef3404a6824b576a0f5ffa88ff2208

Observation f725606a-11e3-4e5d-b5af-d800589aab9d · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.353470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.073357Z digest=sha256:8a43f81d067c435fc77e2c7469396c3f3f7c809bed82d5f31075b986b1f6798e

Observation de21a9fe-4170-48ec-9843-bbc4a12c4cb0 · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.343436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.077243Z digest=sha256:1d26727842889d65a97c629b00012fb3a7435922c92562601470f11c599618f7

Observation effd4bec-d381-4a36-b629-0346fc446fe4 · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.333542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.080551Z digest=sha256:68f877d5ffdfd919c89f9ab6219b516581895c06967a3ebec32d1aaf99349bb6

Observation 2b8132cc-7a5f-4f78-ba10-74151edcdd72 · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.323182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.083795Z digest=sha256:92f0d1a94a136096e533914bdd8bde62477098ae235691fd7d4749cbb6c609e3

Observation 435482a8-2146-4d49-922b-b57ff86ecd81 · outbound

This paper cites Nonlinear Math.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nonlinear Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.313111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.087055Z digest=sha256:83cc842bd2eb0d6bcc84299a95d4e55b1d96160c8fd8997f5be1da13507d38d1

Observation 439691ae-87a6-4e2d-929d-1972b66df8c8 · outbound

This paper cites Nuovo Cimento 28, 299–303, 1980.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Nuovo Cimento 28, 299–303, 1980

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.302613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.090440Z digest=sha256:9cec11e0efcf86de91614e1bf2028a97ace3aad58f3e10b56714756bc3eea6fc

Observation 0e20f899-4c61-4822-aab6-145e7993e115 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.292506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.093608Z digest=sha256:2c82ec137f7b3006fb3cf17b25604f6e6c3cbf4015d3969fe7539b2e05758b36

Observation b740e90c-c5fa-4fa2-a10e-40d8e5774ff2 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.282635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:32:14.096718Z digest=sha256:2b988fae7da5d5db72e2d0571a2b3940a53e50201ae4aacc67625c25587afd69

Observation ba66aadf-7388-4792-bfeb-fc9b96060fcf · outbound

This paper cites Symbolic Computation 24, 591–622, 1997.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Symbolic Computation 24, 591–622, 1997

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.271622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ded855ae-86a1-4527-9439-1be572ae054f · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.261019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a6a693ba-8126-4323-a1a3-2aaee33e7573 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.250695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f900603a-d28a-43ae-84c7-59b5c3723c9c · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.240329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 94c31534-4a07-411a-8aa3-9fa05332f949 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.229924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6c6a007b-f667-4951-98b6-484861f61b4a · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.218705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a874e592-52c4-4a8e-89d3-844ec8a19ce5 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.206830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ffe8abfa-4337-406b-ab13-9311ac89d2e5 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.195918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4a113eef-72dc-4509-a64a-d710cf65a5fb · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.184808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8f0839ec-2c5c-4968-9654-55f609df6eb0 · outbound

This paper cites an unresolved cited work.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:32:14.174198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0de94591-58ab-49bf-90bd-6bee33c9842b · outbound

This paper cites II: B¨ acklund trans- formation, Lax pairs, and the Schwarzian derivative, J.

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies II: B¨ acklund trans- formation, Lax pairs, and the Schwarzian derivative, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:32:14.162472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Pith citing papers

No inbound Pith citation observations are available.